{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3ZPKWCYIF6KAJ3IC7OLPX4VUQK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cb586f0cfc52ae6bd4bc39aeac43d5e909a37611680685a154db68f3bd8b00fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-14T06:53:48Z","title_canon_sha256":"99c2498e8eb21c1437423322a10f7fb254d263a0683ed21c9545f3d70365a5f2"},"schema_version":"1.0","source":{"id":"1903.05835","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.05835","created_at":"2026-05-17T23:51:16Z"},{"alias_kind":"arxiv_version","alias_value":"1903.05835v1","created_at":"2026-05-17T23:51:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.05835","created_at":"2026-05-17T23:51:16Z"},{"alias_kind":"pith_short_12","alias_value":"3ZPKWCYIF6KA","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"3ZPKWCYIF6KAJ3IC","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"3ZPKWCYI","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:bca6f5a2eb0ea59d91cee16648c1f627a609316c919a1143ffaa6a568c4a7a61","target":"graph","created_at":"2026-05-17T23:51:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We introduce a framework for performing the inverse imaging of composite elastic materials. Our technique uses surface acoustic wave (SAW) boundary observations within a minimization problem to express the interior composition of the composite elastic materials. We have approached our target problem by developing mathematical and computational methods for investigating the numerical solution of the corresponding inverse problem. We also discuss a mathematical model for expressing the propagation of elastic waves through composite elastic bodies, and develop approximation schemes for investigat","authors_text":"Elliott Ginder, Riku Kanai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-14T06:53:48Z","title":"A variational approach to the inverse imaging of composite elastic materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.05835","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a3e2313ff2e9b09e4f156027e31bc093b8e3110f8f705349af193308ac76838a","target":"record","created_at":"2026-05-17T23:51:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cb586f0cfc52ae6bd4bc39aeac43d5e909a37611680685a154db68f3bd8b00fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-14T06:53:48Z","title_canon_sha256":"99c2498e8eb21c1437423322a10f7fb254d263a0683ed21c9545f3d70365a5f2"},"schema_version":"1.0","source":{"id":"1903.05835","kind":"arxiv","version":1}},"canonical_sha256":"de5eab0b082f9404ed02fb96fbf2b4828ff13d09bd188120dae6f1b2a14a5629","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de5eab0b082f9404ed02fb96fbf2b4828ff13d09bd188120dae6f1b2a14a5629","first_computed_at":"2026-05-17T23:51:16.020684Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:16.020684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bw4xVsO+YNzeVGtNNfPfRFdlYISecUxlL0/jkQL/Si6mszJdDROiRbTSc8qVzOWmDGxMShu9E89IbWnwZVLLDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:16.021101Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.05835","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3e2313ff2e9b09e4f156027e31bc093b8e3110f8f705349af193308ac76838a","sha256:bca6f5a2eb0ea59d91cee16648c1f627a609316c919a1143ffaa6a568c4a7a61"],"state_sha256":"fb44b67fcfad69af298ad7a0d490a994fa5bc67144656513682c231707363da4"}